What is the Greatest Common Factor of 88850 and 88870?

Greatest common factor (GCF) of 88850 and 88870 is 10.

GCF(88850,88870) = 10

We will now calculate the prime factors of 88850 and 88870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88850 and 88870.

How to find the GCF of 88850 and 88870?

We will first find the prime factorization of 88850 and 88870. After we will calculate the factors of 88850 and 88870 and find the biggest common factor number .

Step-1: Prime Factorization of 88850

Prime factors of 88850 are 2, 5, 1777. Prime factorization of 88850 in exponential form is:

88850 = 2¹ × 5² × 1777¹

Step-2: Prime Factorization of 88870

Prime factors of 88870 are 2, 5, 8887. Prime factorization of 88870 in exponential form is:

88870 = 2¹ × 5¹ × 8887¹

Step-3: Factors of 88850

List of positive integer factors of 88850 that divides 88850 without a remainder.

1, 2, 5, 10, 25, 50, 1777, 3554, 8885, 17770, 44425

Step-4: Factors of 88870

List of positive integer factors of 88870 that divides 88850 without a remainder.

1, 2, 5, 10, 8887, 17774, 44435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88850 and 88870. The biggest common factor number is the GCF number.
So the greatest common factor 88850 and 88870 is 10.

Also check out the Least Common Multiple of 88850 and 88870